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Algebra Lab
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A lab that explores the world of algebra that grows out of the integers.
AboutAbout the lab
From familiar integers to the world of algebra.
Professor Takeshi Kajiwara's lab studies number theory, arithmetic geometry, and algebraic geometry within the field of algebra.
The starting point is the familiar integers, from which many different worlds unfold.
The lab learns the results of its predecessors one by one while aiming for further progress.
In undergraduate courses, the professor teaches "Sets and Topology" and "Galois Theory and Number Theory."
Key terms
- Number theory
- A field of mathematics that studies the properties of integers and the relationships that hold among them
- Arithmetic geometry
- A field that investigates problems in number theory using the ideas of geometry
- Algebraic geometry
- A field that uses algebraic methods to study the shapes formed by the solutions of equations
ResearchResearch themes
Professor Takeshi Kajiwara is interested in number theory, arithmetic geometry, and algebraic geometry within algebra. Starting from the familiar integers, he explores the worlds that unfold from them, learning the results of his predecessors while aiming for further progress.
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MembersFaculty
- ProfessorTakeshi Kajiwara
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Disqvisitiones-800” 作者不詳 / Public domain (cropped)
- Number theory, arithmetic geometry, and algebraic geometry: “Algebraic–Geometry1” Jean Constant / CC BY-SA 4.0 (cropped)
- Related lab (Algebra Lab (Shushi Harashita)): “De Long Room - DPLA - 4a293bd28e3b53c081af01f5355f855c” Brackett, J. Raymond / Public domain (cropped)
- Related lab (Algebra Lab): “Geometric sculpture at New Mersey Park” Rodhullandemu / CC BY-SA 4.0 (cropped)
- Related lab (Topology Lab): “Versatackle Knot Step5” No machine-readable author provided. Starfoxy~commonswiki assumed (based on copyright claims). / CC BY-SA 3.0 (cropped)
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